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Finding the Fourth Proportional to 267.86, 398.95 and 266.55

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Solution

The fourth proportional to 267.86, 398.95 and 266.55 is: 397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.86 : 398.95 = 266.55 : x
  2. Step 2: Convert to fraction form
    267.86/398.95 = 266.55/x
  3. Step 3: Cross multiply
    267.86x = 398.95 × 266.55
  4. Step 4: Simplify right side
    267.86x = 106,340.12
  5. Step 5: Solve for x
    x = 106,340.12/267.86
  6. Step 6: Final answer
    x = 397.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.